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Finding the Fourth Proportional to 152,255.16, 210,098.97 and 84,272.22

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Solution

The fourth proportional to 152,255.16, 210,098.97 and 84,272.22 is: 116,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,255.16 : 210,098.97 = 84,272.22 : x
  2. Step 2: Convert to fraction form
    152,255.16/210,098.97 = 84,272.22/x
  3. Step 3: Cross multiply
    152,255.16x = 210,098.97 × 84,272.22
  4. Step 4: Simplify right side
    152,255.16x = 17,705,506,621.61
  5. Step 5: Solve for x
    x = 17,705,506,621.61/152,255.16
  6. Step 6: Final answer
    x = 116,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.